-6(x+3)=3(x-5)

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Solution for -6(x+3)=3(x-5) equation:


Simplifying
-6(x + 3) = 3(x + -5)

Reorder the terms:
-6(3 + x) = 3(x + -5)
(3 * -6 + x * -6) = 3(x + -5)
(-18 + -6x) = 3(x + -5)

Reorder the terms:
-18 + -6x = 3(-5 + x)
-18 + -6x = (-5 * 3 + x * 3)
-18 + -6x = (-15 + 3x)

Solving
-18 + -6x = -15 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-18 + -6x + -3x = -15 + 3x + -3x

Combine like terms: -6x + -3x = -9x
-18 + -9x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -9x = -15 + 0
-18 + -9x = -15

Add '18' to each side of the equation.
-18 + 18 + -9x = -15 + 18

Combine like terms: -18 + 18 = 0
0 + -9x = -15 + 18
-9x = -15 + 18

Combine like terms: -15 + 18 = 3
-9x = 3

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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